To determine the first quartile, second quartile (median), eighth decile, fourth decile, and thirty-eighth percentile, we need to arrange the prices in ascending order first:
Php 4,900, Php 5,100, Php 6,150, Php 6,600, Php 8,100
First Quartile: Since there are 5 data points, the first quartile is the average of the 1st and 2nd data points.
First Quartile = (Php 4,900 + Php 5,100) / 2 = Php 5,000
Second Quartile (Median): Since there are 5 data points, the median is the 3rd data point.
Second Quartile = Php 6,150
Eighth Decile: Since there are 5 data points, the eighth decile is the average of the 4th and 5th data points.
Eighth Decile = (Php 6,600 + Php 8,100) / 2 = Php 7,350
Fourth Decile: Since there are 5 data points, the fourth decile is the average of the 2nd and 3rd data points.
Apologies for the incomplete response. Let's continue with the calculations:
To find the 38th percentile, we can use the formula:
38th percentile = (38/100) * (n + 1)
where n is the total number of data points.
38th percentile = (38/100) * (5 + 1) = 0.38 * 6 = 2.28
Since 2.28 is not an integer, we can round it up to the next whole number, which is 3. Therefore, the 38th percentile will be the third data point in the sorted list:
38th percentile = Php 6,150
Now, let's find the court decile. The court decile is the eighth decile, so we can use the same formula:
8th decile = (8/10) * (n + 1)
8th decile = (8/10) * (5 + 1) = 0.8 * 6 = 4.8
Since 4.8 is not an integer, we can round it up to the next whole number, which is 5. Therefore, the 8th decile will be the fifth data point in the sorted list:
8th decile = Php 8,100
To summarize:
First Quartile: Php 5,000
Second Quartile (Median): Php 6,150
8th decile: Php 8,100
Fourth decile: Php 6,150
38th percentile: Php 6,150